Algebraic K-theory of the infinite place

Details Algebraic K-theory of the infinite place Algebraic K-theory of the infinite place

2012-02-23

arxiv.org/abs/1202.5203v1

Mathematics

K-Theory and Homology

Scientific paper

In this note, we show that the algebraic K-theory of generalized archimedean
valuation rings occurring in Durov's compactification of the spectrum of a
number ring is given by stable homotopy groups of certain classifying spaces.
We also show that the "residue field at infinity" is badly behaved from a
K-theoretic point of view.

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